We report measurements of the temperature dependences of the splay (K11) and bend (K33) elastic constants of several homologues and a binary mixutre of disulfide bridged symmetric dimers made of alkoxy cyanobiphenyl monomeric units. All of them have an even number m of carbon and sulfur atoms in the linking chain and expected to have linear conformations. Both K11 and K33 alternate depending on the parity of x which is the number of carbon atoms in the alkyl chain of a monomer. We will refer to this as ‘odd-even' effect. This effect, occurs near the nematic-isotropic transition temperature. TNI , but monotonically decrease with m at lower temperatures. We argue that these results imply large rotational fluctuations of the two halves of the dimers about the S-S bond giving rise to average bent conformations near TNI . At lower temperatures those conformations which can adapt better to the given curvature deformation in the medium are favored.